Find the area of a rectangle ABCD that has vertices point A (2,−5) , point B (5,−5) , point C (5,−1) , and point D (2,−1) in square miles.(1 point) The area of rectangle ABCD is square miles.

1 answer

To find the area of the rectangle, we first need to find the length and width of the rectangle using the coordinates of the vertices.

The length of the rectangle is the difference in the x-coordinates of points A and B:
Length = 5 - 2 = 3 miles

The width of the rectangle is the difference in the y-coordinates of points A and D:
Width = -1 - (-5) = 4 miles

Now, we can calculate the area of the rectangle by multiplying the length and width:
Area = Length x Width
Area = 3 miles x 4 miles
Area = 12 square miles

Therefore, the area of rectangle ABCD is 12 square miles.